At least in Spain you can get through on the phone. You can even book your appointment on-line at the surgery in Quesada.
In UK, the system seemed to be phone at 0800 and you'll get an appointment. Trouble is, everyone is doing the same and the phone is permanently engaged. This is not the surgery fault, by the way. When I was working as a practice manager we had a phone system that could take up to 128 phone calls at one time (and put them in a queue). If the number exceed 128 calls at any one time then it gave the engaged tone. The number of times you got the engaged tone showed how busy the system was and the only way to handle them all would be to employ 128 receptionsists, impossible as you can see.
At the surgery in our UK village, you have to phone at 0800 and you're lucky if you can get through within an hour, only to be told all appointments have been taken. My Mum's surgery, you have to turn up in person at 0800 and are then given a time when to come back. Bit awkward for my Mum as she is 88 and has to traipse all the way down then all the way back home before going back again.
The surgery I worked at had a 4 to 5 day waiting time for appointments (shocking, I know, but it was extremely busy) but we kept 10 appointments at the end of the morning and evening surgery for "genuine" emergencies who had to be seen on the same day. Unfortunately, the patients soon got wind of this and every request was an emergency.
Here, in Spain, we can either phone, book on-line or turn up in person. You will always get a same day appointment BUT the population of our town is only about 6,000 and there are several surgeries. The one I worked at in UK had almost 10,000 patients on the books (about 2,000 per GP) and all the other surgeries in the area had the same ratio or higher.